About Tokamaks
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Q: Are there any other tokamaks in operation around
the world and when will fusion power be used in ships and how much of
a reduction in size would it take?
A: There are many tokamaks in operation around the world, all contributing
to an international effort to realise commercial fusion power. As well
as EFDA-JET, there are many other tokamaks in operation in Europe (the
UK has its own tokamak, MAST as well as operating JET on behalf of Europe).
There are also tokamaks operating in the USA and Japan, and smaller tokamak
experiments all over the world (in counties such as Brazil, India, Australia,
China, Russia etc.).
There are no plans (as far as I am aware) to use fusion power plants
directly in ships - there would be difficulty in making them small enough,
given our present level of knowledge. Certainly in terms of other forms
of transport, the use of fusion to generate electricity would obviously
be directly relevant to the railways and, one could envisage, cars well
in the future running on electricity.
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Q: What are the minor and major radii of
the plasma?
A: The major radius of a tokamak plasma is the radius of the
tokamak as a whole (from the centre of the hole down the centre of the
device to the the centre of the plasma) and the minor radius is the radius
of the plasma itself.
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Q: How much more energy will it take a Tokamak
over the "breakeven point" to actually produce power due
to loss of energy in the processes of electricity production?
A: The fusion energy balance breakeven is achieved when the energy
from fusion reactions is larger than the energy required to sustain the
plasma. However, in order to produce a net amount of energy (converted
as electricity), the power plant must produce significantly more energy
than that required to power all plant auxiliary systems (engineering
breakeven). The required power amplification from the plasma, in order
to achieve overall engineering breakeven, depends on how the plant design
is optimised, but it is expected to be of the order of 30.
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Q: Would a Tokamak work better in zero/low gravity
conditions?
A: Gravity has very little effect on the dynamics and/or stability
of the plasma so operation of a tokamak in zero gravity would make little
difference.
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Q: How does plasma heat if all the particles are
travelling in the same direction?
A: Actually, plasma particles are not bound to travel in the same direction.
In a gas, particles can move freely in three dimensions. In JET (as well as
in any other magnetic confinement facility) a charged particle loses one
degree of freedom, i.e. it is free in two dimensions. One
is along magnetic field lines (ie close to centre line of the toroid
and slightly helical). The second is its rotation around a magnetic field
line. In any of the two dimensions, every particle is free - it can gain or
lose velocity.
In a magnetically confined plasma the velocity distribution of particles is thermal (Maxwellian) in both dimensions. In other words, plasma particles
can fly in different directions (clockwise, counterclockwise around the
torus / around the field line) and with different velocities. The Maxwellian
distribution of velocities is maintained by mutual collisions of the
particles (and, in plasma, by electromagnetic interactions too). There are
only two global parameters: the width of the velocity distribution (which
corresponds to temperature) and the offset of its maximum from zero. The latter correspond to a collective motion - a wind in gas, or, in JET we call it plasma rotation. Plasma temperature in JET rises above 100 millions deg Celsius.
I hope that now you see that even in the hypothetical case of one
dimensional distribution (say, from left to right) there is a measure of
temperature - particles can move chaotically from right to left or vice
versa, fast or slow. If their mean velocity is zero, there is no "wind".
Temperature is proportional to the mean value of the square of their
velocities. When particles stop completely we say temperature is absolute
zero (-273.15 deg Celsius). On the other hand, if the temperature is high,
they mutually collide with big impulses so that some can fuse.
Sometimes students exaggerate the effect of the plasma electric current which
is the source of Joule heating in tokamaks. Indeed, electric current is also
a velocity distribution offset, with opposite directions for +ions and for
electrons. However, thanks to many collisions in plasma, this offset is
small compared to typical thermal velocities.
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Q: I would think that ITER would require a substantial
amount more power to produce the plasma than JET. If you were to create
a smaller reactor you would need less energy to run it, thus allowing
for it to run longer which should allow you to study it better. If you
make it smaller you can exert more magnetic force to contain and heat
the plasma and possibly make it self sustaining. Shouldn't we be looking
at smaller tokamaks?
A: It is true that ITER will require more power to heat the
plasma than JET as the plasma is bigger and will need to be hotter. However,
ITER (as it is hotter and bigger) will produce a much more efficient fusion
reaction than JET and will consequently reach an energy gain factor (fusion
energy divided by the energy required to heat the plasma) of 10 (JET has
only reached 0.7). In addition, electricity is needed to run the magnetic
field coils in a tokamak and this is a large amount on JET. On ITER, the
electricity requirements of these coils is small as they will be superconducting
and will require little voltage to keep them running. The duration of
the plasma in ITER will be much longer than JET (5-10 minutes compared
to 10s or so in JET) - the restriction on the plasma duration comes from
the discharging transformer required to induce the plasma current in a
tokamak - this will be much larger on ITER than JET - also, hotter plasmas
require less induced voltage to keep them running.
Creating smaller reactors would be very good, but the confinement of
plasma particles gets worse as the plasma gets smaller (and good confinement
is required for effective fusion). So, the chances of having a fusion
powerplant under the bonnet of your car are remote!
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Q: Would it be best to devote a majority of resources
to the Tokamak projects instead of Z pinch machines or laser type fast
igniter approaches? Besides the technical spin-offs that the other approaches
contribute, is the Tokamak more efficient design toward power plant production?
A: I cannot really comment on which is the best approach towards a
fusion powerplant. I can make a few comments on all these options, although
you should realise I am by no means an expert on Z pinches or Laser driven
inertial confinement systems:
Z-pinch - this concept is not being studied as intensively as
the other two concepts you mentioned and it would be fair to say that
the research in this area is significantly further away from realisable
fusion power - certainly further away than the tokamak.
Laser driven inertial confinement - There is a significant programme
(especially in the US) into laser driven fusion systems (lasers with
directly or indirectly imploding a solid capsule of D and T), although
it is probably fair to say that the research is a little behind the
tokamak. Problems with this approach include instabilities in the collapsing
capsule if the radiation incident on it is not perfectly aligned.
Tokamak - this is the basis of the research carried out at Culham
(e.g. on JET) and many other labs around the world. Fusion has been
observed in JET (albeit less was observed than the energy required to
heat the plasma to fusion temperatures) as the plasma was heated and
confined (using powerful magnetic fields) sufficiently for this to happen.
There are problems with tokamak research (plasma confinement, stability
etc.) but the full scale powerplant suggests that the tokamak is probably
closer than the other approaches to commercial power production. However,
research in Laser driven systems is heavily funded in the US and may
well prove an equally feasible system.
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